If a unit vector makes angles with with and an acute angle with

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

3. If a unit vector

\vec{a}

makes angles

\frac{\pi}{3}

with

\hat{i}, \frac{\pi}{4}

with

\hat{j}

and an acute angle

\theta

with

\hat{k}

, then find

\theta

and hence, the components of

\vec{a}